What is the Greatest Common Factor of 65974 and 65990?

Greatest common factor (GCF) of 65974 and 65990 is 2.

GCF(65974,65990) = 2

We will now calculate the prime factors of 65974 and 65990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65974 and 65990.

How to find the GCF of 65974 and 65990?

We will first find the prime factorization of 65974 and 65990. After we will calculate the factors of 65974 and 65990 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 65990

Prime factors of 65990 are 2, 5, 6599. Prime factorization of 65990 in exponential form is:

65990 = 2¹ × 5¹ × 6599¹

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 65990

List of positive integer factors of 65990 that divides 65974 without a remainder.

1, 2, 5, 10, 6599, 13198, 32995

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65974 and 65990. The biggest common factor number is the GCF number.
So the greatest common factor 65974 and 65990 is 2.

Also check out the Least Common Multiple of 65974 and 65990