What is the Greatest Common Factor of 60732 and 60746?

Greatest common factor (GCF) of 60732 and 60746 is 14.

GCF(60732,60746) = 14

We will now calculate the prime factors of 60732 and 60746, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60732 and 60746.

How to find the GCF of 60732 and 60746?

We will first find the prime factorization of 60732 and 60746. After we will calculate the factors of 60732 and 60746 and find the biggest common factor number .

Step-1: Prime Factorization of 60732

Prime factors of 60732 are 2, 3, 7, 241. Prime factorization of 60732 in exponential form is:

60732 = 2² × 3² × 7¹ × 241¹

Step-2: Prime Factorization of 60746

Prime factors of 60746 are 2, 7, 4339. Prime factorization of 60746 in exponential form is:

60746 = 2¹ × 7¹ × 4339¹

Step-3: Factors of 60732

List of positive integer factors of 60732 that divides 60732 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 241, 252, 482, 723, 964, 1446, 1687, 2169, 2892, 3374, 4338, 5061, 6748, 8676, 10122, 15183, 20244, 30366

Step-4: Factors of 60746

List of positive integer factors of 60746 that divides 60732 without a remainder.

1, 2, 7, 14, 4339, 8678, 30373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60732 and 60746. The biggest common factor number is the GCF number.
So the greatest common factor 60732 and 60746 is 14.

Also check out the Least Common Multiple of 60732 and 60746