What is the Greatest Common Factor of 95524 and 95532?

Greatest common factor (GCF) of 95524 and 95532 is 4.

GCF(95524,95532) = 4

We will now calculate the prime factors of 95524 and 95532, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95524 and 95532.

How to find the GCF of 95524 and 95532?

We will first find the prime factorization of 95524 and 95532. After we will calculate the factors of 95524 and 95532 and find the biggest common factor number .

Step-1: Prime Factorization of 95524

Prime factors of 95524 are 2, 11, 13, 167. Prime factorization of 95524 in exponential form is:

95524 = 2² × 11¹ × 13¹ × 167¹

Step-2: Prime Factorization of 95532

Prime factors of 95532 are 2, 3, 19, 419. Prime factorization of 95532 in exponential form is:

95532 = 2² × 3¹ × 19¹ × 419¹

Step-3: Factors of 95524

List of positive integer factors of 95524 that divides 95524 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 167, 286, 334, 572, 668, 1837, 2171, 3674, 4342, 7348, 8684, 23881, 47762

Step-4: Factors of 95532

List of positive integer factors of 95532 that divides 95524 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 419, 838, 1257, 1676, 2514, 5028, 7961, 15922, 23883, 31844, 47766

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95524 and 95532. The biggest common factor number is the GCF number.
So the greatest common factor 95524 and 95532 is 4.

Also check out the Least Common Multiple of 95524 and 95532