What is the Greatest Common Factor of 64949 and 64967?

Greatest common factor (GCF) of 64949 and 64967 is 1.

GCF(64949,64967) = 1

We will now calculate the prime factors of 64949 and 64967, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64949 and 64967.

How to find the GCF of 64949 and 64967?

We will first find the prime factorization of 64949 and 64967. After we will calculate the factors of 64949 and 64967 and find the biggest common factor number .

Step-1: Prime Factorization of 64949

Prime factors of 64949 are 107, 607. Prime factorization of 64949 in exponential form is:

64949 = 107¹ × 607¹

Step-2: Prime Factorization of 64967

Prime factors of 64967 are 7, 9281. Prime factorization of 64967 in exponential form is:

64967 = 7¹ × 9281¹

Step-3: Factors of 64949

List of positive integer factors of 64949 that divides 64949 without a remainder.

1, 107, 607

Step-4: Factors of 64967

List of positive integer factors of 64967 that divides 64949 without a remainder.

1, 7, 9281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64949 and 64967. The biggest common factor number is the GCF number.
So the greatest common factor 64949 and 64967 is 1.

Also check out the Least Common Multiple of 64949 and 64967