What is the Greatest Common Factor of 65948 and 65968?

Greatest common factor (GCF) of 65948 and 65968 is 4.

GCF(65948,65968) = 4

We will now calculate the prime factors of 65948 and 65968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65948 and 65968.

How to find the GCF of 65948 and 65968?

We will first find the prime factorization of 65948 and 65968. After we will calculate the factors of 65948 and 65968 and find the biggest common factor number .

Step-1: Prime Factorization of 65948

Prime factors of 65948 are 2, 16487. Prime factorization of 65948 in exponential form is:

65948 = 2² × 16487¹

Step-2: Prime Factorization of 65968

Prime factors of 65968 are 2, 7, 19, 31. Prime factorization of 65968 in exponential form is:

65968 = 2⁴ × 7¹ × 19¹ × 31¹

Step-3: Factors of 65948

List of positive integer factors of 65948 that divides 65948 without a remainder.

1, 2, 4, 16487, 32974

Step-4: Factors of 65968

List of positive integer factors of 65968 that divides 65948 without a remainder.

1, 2, 4, 7, 8, 14, 16, 19, 28, 31, 38, 56, 62, 76, 112, 124, 133, 152, 217, 248, 266, 304, 434, 496, 532, 589, 868, 1064, 1178, 1736, 2128, 2356, 3472, 4123, 4712, 8246, 9424, 16492, 32984

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65948 and 65968. The biggest common factor number is the GCF number.
So the greatest common factor 65948 and 65968 is 4.

Also check out the Least Common Multiple of 65948 and 65968