What is the Greatest Common Factor of 61974 and 61986?

Greatest common factor (GCF) of 61974 and 61986 is 6.

GCF(61974,61986) = 6

We will now calculate the prime factors of 61974 and 61986, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61974 and 61986.

How to find the GCF of 61974 and 61986?

We will first find the prime factorization of 61974 and 61986. After we will calculate the factors of 61974 and 61986 and find the biggest common factor number .

Step-1: Prime Factorization of 61974

Prime factors of 61974 are 2, 3, 11, 313. Prime factorization of 61974 in exponential form is:

61974 = 2¹ × 3² × 11¹ × 313¹

Step-2: Prime Factorization of 61986

Prime factors of 61986 are 2, 3, 10331. Prime factorization of 61986 in exponential form is:

61986 = 2¹ × 3¹ × 10331¹

Step-3: Factors of 61974

List of positive integer factors of 61974 that divides 61974 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 313, 626, 939, 1878, 2817, 3443, 5634, 6886, 10329, 20658, 30987

Step-4: Factors of 61986

List of positive integer factors of 61986 that divides 61974 without a remainder.

1, 2, 3, 6, 10331, 20662, 30993

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61974 and 61986. The biggest common factor number is the GCF number.
So the greatest common factor 61974 and 61986 is 6.

Also check out the Least Common Multiple of 61974 and 61986