What is the Greatest Common Factor of 45952 and 45968?

Greatest common factor (GCF) of 45952 and 45968 is 16.

GCF(45952,45968) = 16

We will now calculate the prime factors of 45952 and 45968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45952 and 45968.

How to find the GCF of 45952 and 45968?

We will first find the prime factorization of 45952 and 45968. After we will calculate the factors of 45952 and 45968 and find the biggest common factor number .

Step-1: Prime Factorization of 45952

Prime factors of 45952 are 2, 359. Prime factorization of 45952 in exponential form is:

45952 = 2⁷ × 359¹

Step-2: Prime Factorization of 45968

Prime factors of 45968 are 2, 13, 17. Prime factorization of 45968 in exponential form is:

45968 = 2⁴ × 13² × 17¹

Step-3: Factors of 45952

List of positive integer factors of 45952 that divides 45952 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 359, 718, 1436, 2872, 5744, 11488, 22976

Step-4: Factors of 45968

List of positive integer factors of 45968 that divides 45952 without a remainder.

1, 2, 4, 8, 13, 16, 17, 26, 34, 52, 68, 104, 136, 169, 208, 221, 272, 338, 442, 676, 884, 1352, 1768, 2704, 2873, 3536, 5746, 11492, 22984

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45952 and 45968. The biggest common factor number is the GCF number.
So the greatest common factor 45952 and 45968 is 16.

Also check out the Least Common Multiple of 45952 and 45968