What is the Greatest Common Factor of 45952 and 45962?

Greatest common factor (GCF) of 45952 and 45962 is 2.

GCF(45952,45962) = 2

We will now calculate the prime factors of 45952 and 45962, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45952 and 45962.

How to find the GCF of 45952 and 45962?

We will first find the prime factorization of 45952 and 45962. After we will calculate the factors of 45952 and 45962 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 45962

Prime factors of 45962 are 2, 7, 67. Prime factorization of 45962 in exponential form is:

45962 = 2¹ × 7³ × 67¹

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 45962

List of positive integer factors of 45962 that divides 45952 without a remainder.

1, 2, 7, 14, 49, 67, 98, 134, 343, 469, 686, 938, 3283, 6566, 22981

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45952 and 45962. The biggest common factor number is the GCF number.
So the greatest common factor 45952 and 45962 is 2.

Also check out the Least Common Multiple of 45952 and 45962