What is the Greatest Common Factor of 65954 and 65964?

Greatest common factor (GCF) of 65954 and 65964 is 2.

GCF(65954,65964) = 2

We will now calculate the prime factors of 65954 and 65964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65954 and 65964.

How to find the GCF of 65954 and 65964?

We will first find the prime factorization of 65954 and 65964. After we will calculate the factors of 65954 and 65964 and find the biggest common factor number .

Step-1: Prime Factorization of 65954

Prime factors of 65954 are 2, 7, 673. Prime factorization of 65954 in exponential form is:

65954 = 2¹ × 7² × 673¹

Step-2: Prime Factorization of 65964

Prime factors of 65964 are 2, 3, 23, 239. Prime factorization of 65964 in exponential form is:

65964 = 2² × 3¹ × 23¹ × 239¹

Step-3: Factors of 65954

List of positive integer factors of 65954 that divides 65954 without a remainder.

1, 2, 7, 14, 49, 98, 673, 1346, 4711, 9422, 32977

Step-4: Factors of 65964

List of positive integer factors of 65964 that divides 65954 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 239, 276, 478, 717, 956, 1434, 2868, 5497, 10994, 16491, 21988, 32982

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65954 and 65964. The biggest common factor number is the GCF number.
So the greatest common factor 65954 and 65964 is 2.

Also check out the Least Common Multiple of 65954 and 65964