What is the Greatest Common Factor of 65974 and 65994?

Greatest common factor (GCF) of 65974 and 65994 is 2.

GCF(65974,65994) = 2

We will now calculate the prime factors of 65974 and 65994, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65974 and 65994.

How to find the GCF of 65974 and 65994?

We will first find the prime factorization of 65974 and 65994. After we will calculate the factors of 65974 and 65994 and find the biggest common factor number .

Step-1: Prime Factorization of 65974

Prime factors of 65974 are 2, 32987. Prime factorization of 65974 in exponential form is:

65974 = 2¹ × 32987¹

Step-2: Prime Factorization of 65994

Prime factors of 65994 are 2, 3, 17, 647. Prime factorization of 65994 in exponential form is:

65994 = 2¹ × 3¹ × 17¹ × 647¹

Step-3: Factors of 65974

List of positive integer factors of 65974 that divides 65974 without a remainder.

1, 2, 32987

Step-4: Factors of 65994

List of positive integer factors of 65994 that divides 65974 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 647, 1294, 1941, 3882, 10999, 21998, 32997

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65974 and 65994. The biggest common factor number is the GCF number.
So the greatest common factor 65974 and 65994 is 2.

Also check out the Least Common Multiple of 65974 and 65994