What is the Greatest Common Factor of 59451 and 59460?

Greatest common factor (GCF) of 59451 and 59460 is 3.

GCF(59451,59460) = 3

We will now calculate the prime factors of 59451 and 59460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59451 and 59460.

How to find the GCF of 59451 and 59460?

We will first find the prime factorization of 59451 and 59460. After we will calculate the factors of 59451 and 59460 and find the biggest common factor number .

Step-1: Prime Factorization of 59451

Prime factors of 59451 are 3, 7, 19, 149. Prime factorization of 59451 in exponential form is:

59451 = 3¹ × 7¹ × 19¹ × 149¹

Step-2: Prime Factorization of 59460

Prime factors of 59460 are 2, 3, 5, 991. Prime factorization of 59460 in exponential form is:

59460 = 2² × 3¹ × 5¹ × 991¹

Step-3: Factors of 59451

List of positive integer factors of 59451 that divides 59451 without a remainder.

1, 3, 7, 19, 21, 57, 133, 149, 399, 447, 1043, 2831, 3129, 8493, 19817

Step-4: Factors of 59460

List of positive integer factors of 59460 that divides 59451 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 991, 1982, 2973, 3964, 4955, 5946, 9910, 11892, 14865, 19820, 29730

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59451 and 59460. The biggest common factor number is the GCF number.
So the greatest common factor 59451 and 59460 is 3.

Also check out the Least Common Multiple of 59451 and 59460