What is the Greatest Common Factor of 95492 and 95504?

Greatest common factor (GCF) of 95492 and 95504 is 4.

GCF(95492,95504) = 4

We will now calculate the prime factors of 95492 and 95504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95492 and 95504.

How to find the GCF of 95492 and 95504?

We will first find the prime factorization of 95492 and 95504. After we will calculate the factors of 95492 and 95504 and find the biggest common factor number .

Step-1: Prime Factorization of 95492

Prime factors of 95492 are 2, 23873. Prime factorization of 95492 in exponential form is:

95492 = 2² × 23873¹

Step-2: Prime Factorization of 95504

Prime factors of 95504 are 2, 47, 127. Prime factorization of 95504 in exponential form is:

95504 = 2⁴ × 47¹ × 127¹

Step-3: Factors of 95492

List of positive integer factors of 95492 that divides 95492 without a remainder.

1, 2, 4, 23873, 47746

Step-4: Factors of 95504

List of positive integer factors of 95504 that divides 95492 without a remainder.

1, 2, 4, 8, 16, 47, 94, 127, 188, 254, 376, 508, 752, 1016, 2032, 5969, 11938, 23876, 47752

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95492 and 95504. The biggest common factor number is the GCF number.
So the greatest common factor 95492 and 95504 is 4.

Also check out the Least Common Multiple of 95492 and 95504