What is the Greatest Common Factor of 61956 and 61974?

Greatest common factor (GCF) of 61956 and 61974 is 18.

GCF(61956,61974) = 18

We will now calculate the prime factors of 61956 and 61974, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61956 and 61974.

How to find the GCF of 61956 and 61974?

We will first find the prime factorization of 61956 and 61974. After we will calculate the factors of 61956 and 61974 and find the biggest common factor number .

Step-1: Prime Factorization of 61956

Prime factors of 61956 are 2, 3, 1721. Prime factorization of 61956 in exponential form is:

61956 = 2² × 3² × 1721¹

Step-2: 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-3: Factors of 61956

List of positive integer factors of 61956 that divides 61956 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1721, 3442, 5163, 6884, 10326, 15489, 20652, 30978

Step-4: Factors of 61974

List of positive integer factors of 61974 that divides 61956 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61956 and 61974. The biggest common factor number is the GCF number.
So the greatest common factor 61956 and 61974 is 18.

Also check out the Least Common Multiple of 61956 and 61974