What is the Greatest Common Factor of 65949 and 65961?

Greatest common factor (GCF) of 65949 and 65961 is 3.

GCF(65949,65961) = 3

We will now calculate the prime factors of 65949 and 65961, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65949 and 65961.

How to find the GCF of 65949 and 65961?

We will first find the prime factorization of 65949 and 65961. After we will calculate the factors of 65949 and 65961 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 65961

Prime factors of 65961 are 3, 7, 349. Prime factorization of 65961 in exponential form is:

65961 = 3³ × 7¹ × 349¹

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 65961

List of positive integer factors of 65961 that divides 65949 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189, 349, 1047, 2443, 3141, 7329, 9423, 21987

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65949 and 65961. The biggest common factor number is the GCF number.
So the greatest common factor 65949 and 65961 is 3.

Also check out the Least Common Multiple of 65949 and 65961