What is the Greatest Common Factor of 62940 and 62946?

Greatest common factor (GCF) of 62940 and 62946 is 6.

GCF(62940,62946) = 6

We will now calculate the prime factors of 62940 and 62946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62940 and 62946.

How to find the GCF of 62940 and 62946?

We will first find the prime factorization of 62940 and 62946. After we will calculate the factors of 62940 and 62946 and find the biggest common factor number .

Step-1: Prime Factorization of 62940

Prime factors of 62940 are 2, 3, 5, 1049. Prime factorization of 62940 in exponential form is:

62940 = 2² × 3¹ × 5¹ × 1049¹

Step-2: Prime Factorization of 62946

Prime factors of 62946 are 2, 3, 13, 269. Prime factorization of 62946 in exponential form is:

62946 = 2¹ × 3² × 13¹ × 269¹

Step-3: Factors of 62940

List of positive integer factors of 62940 that divides 62940 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1049, 2098, 3147, 4196, 5245, 6294, 10490, 12588, 15735, 20980, 31470

Step-4: Factors of 62946

List of positive integer factors of 62946 that divides 62940 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234, 269, 538, 807, 1614, 2421, 3497, 4842, 6994, 10491, 20982, 31473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62940 and 62946. The biggest common factor number is the GCF number.
So the greatest common factor 62940 and 62946 is 6.

Also check out the Least Common Multiple of 62940 and 62946