What is the Greatest Common Factor of 70360 and 70380?

Greatest common factor (GCF) of 70360 and 70380 is 20.

GCF(70360,70380) = 20

We will now calculate the prime factors of 70360 and 70380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70360 and 70380.

How to find the GCF of 70360 and 70380?

We will first find the prime factorization of 70360 and 70380. After we will calculate the factors of 70360 and 70380 and find the biggest common factor number .

Step-1: Prime Factorization of 70360

Prime factors of 70360 are 2, 5, 1759. Prime factorization of 70360 in exponential form is:

70360 = 2³ × 5¹ × 1759¹

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 70360

List of positive integer factors of 70360 that divides 70360 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1759, 3518, 7036, 8795, 14072, 17590, 35180

Step-4: Factors of 70380

List of positive integer factors of 70380 that divides 70360 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 70360 and 70380. The biggest common factor number is the GCF number.
So the greatest common factor 70360 and 70380 is 20.

Also check out the Least Common Multiple of 70360 and 70380