What is the Greatest Common Factor of 70371 and 70380?

Greatest common factor (GCF) of 70371 and 70380 is 9.

GCF(70371,70380) = 9

We will now calculate the prime factors of 70371 and 70380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70371 and 70380.

How to find the GCF of 70371 and 70380?

We will first find the prime factorization of 70371 and 70380. After we will calculate the factors of 70371 and 70380 and find the biggest common factor number .

Step-1: Prime Factorization of 70371

Prime factors of 70371 are 3, 7, 1117. Prime factorization of 70371 in exponential form is:

70371 = 3² × 7¹ × 1117¹

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 70371

List of positive integer factors of 70371 that divides 70371 without a remainder.

1, 3, 7, 9, 21, 63, 1117, 3351, 7819, 10053, 23457

Step-4: Factors of 70380

List of positive integer factors of 70380 that divides 70371 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 70371 and 70380. The biggest common factor number is the GCF number.
So the greatest common factor 70371 and 70380 is 9.

Also check out the Least Common Multiple of 70371 and 70380