What is the Greatest Common Factor of 65949 and 65967?

Greatest common factor (GCF) of 65949 and 65967 is 3.

GCF(65949,65967) = 3

We will now calculate the prime factors of 65949 and 65967, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65949 and 65967.

How to find the GCF of 65949 and 65967?

We will first find the prime factorization of 65949 and 65967. After we will calculate the factors of 65949 and 65967 and find the biggest common factor number .

Step-1: Prime Factorization of 65949

Prime factors of 65949 are 3, 13, 19, 89. Prime factorization of 65949 in exponential form is:

65949 = 3¹ × 13¹ × 19¹ × 89¹

Step-2: Prime Factorization of 65967

Prime factors of 65967 are 3, 11, 1999. Prime factorization of 65967 in exponential form is:

65967 = 3¹ × 11¹ × 1999¹

Step-3: Factors of 65949

List of positive integer factors of 65949 that divides 65949 without a remainder.

1, 3, 13, 19, 39, 57, 89, 247, 267, 741, 1157, 1691, 3471, 5073, 21983

Step-4: Factors of 65967

List of positive integer factors of 65967 that divides 65949 without a remainder.

1, 3, 11, 33, 1999, 5997, 21989

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65949 and 65967. The biggest common factor number is the GCF number.
So the greatest common factor 65949 and 65967 is 3.

Also check out the Least Common Multiple of 65949 and 65967