What is the Greatest Common Factor of 65936 and 65949?

Greatest common factor (GCF) of 65936 and 65949 is 13.

GCF(65936,65949) = 13

We will now calculate the prime factors of 65936 and 65949, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65936 and 65949.

How to find the GCF of 65936 and 65949?

We will first find the prime factorization of 65936 and 65949. After we will calculate the factors of 65936 and 65949 and find the biggest common factor number .

Step-1: Prime Factorization of 65936

Prime factors of 65936 are 2, 13, 317. Prime factorization of 65936 in exponential form is:

65936 = 2⁴ × 13¹ × 317¹

Step-2: 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-3: Factors of 65936

List of positive integer factors of 65936 that divides 65936 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 317, 634, 1268, 2536, 4121, 5072, 8242, 16484, 32968

Step-4: Factors of 65949

List of positive integer factors of 65949 that divides 65936 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65936 and 65949. The biggest common factor number is the GCF number.
So the greatest common factor 65936 and 65949 is 13.

Also check out the Least Common Multiple of 65936 and 65949