What is the Greatest Common Factor of 70368 and 70380?

Greatest common factor (GCF) of 70368 and 70380 is 12.

GCF(70368,70380) = 12

We will now calculate the prime factors of 70368 and 70380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70368 and 70380.

How to find the GCF of 70368 and 70380?

We will first find the prime factorization of 70368 and 70380. After we will calculate the factors of 70368 and 70380 and find the biggest common factor number .

Step-1: Prime Factorization of 70368

Prime factors of 70368 are 2, 3, 733. Prime factorization of 70368 in exponential form is:

70368 = 2⁵ × 3¹ × 733¹

Step-2: Prime Factorization of 70380

Prime factors of 70380 are 2, 3, 5, 17, 23. Prime factorization of 70380 in exponential form is:

70380 = 2² × 3² × 5¹ × 17¹ × 23¹

Step-3: Factors of 70368

List of positive integer factors of 70368 that divides 70368 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 733, 1466, 2199, 2932, 4398, 5864, 8796, 11728, 17592, 23456, 35184

Step-4: Factors of 70380

List of positive integer factors of 70380 that divides 70368 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 17, 18, 20, 23, 30, 34, 36, 45, 46, 51, 60, 68, 69, 85, 90, 92, 102, 115, 138, 153, 170, 180, 204, 207, 230, 255, 276, 306, 340, 345, 391, 414, 460, 510, 612, 690, 765, 782, 828, 1020, 1035, 1173, 1380, 1530, 1564, 1955, 2070, 2346, 3060, 3519, 3910, 4140, 4692, 5865, 7038, 7820, 11730, 14076, 17595, 23460, 35190

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70368 and 70380. The biggest common factor number is the GCF number.
So the greatest common factor 70368 and 70380 is 12.

Also check out the Least Common Multiple of 70368 and 70380