What is the Greatest Common Factor of 95052 and 95064?

Greatest common factor (GCF) of 95052 and 95064 is 12.

GCF(95052,95064) = 12

We will now calculate the prime factors of 95052 and 95064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95052 and 95064.

How to find the GCF of 95052 and 95064?

We will first find the prime factorization of 95052 and 95064. After we will calculate the factors of 95052 and 95064 and find the biggest common factor number .

Step-1: Prime Factorization of 95052

Prime factors of 95052 are 2, 3, 89. Prime factorization of 95052 in exponential form is:

95052 = 2² × 3¹ × 89²

Step-2: Prime Factorization of 95064

Prime factors of 95064 are 2, 3, 17, 233. Prime factorization of 95064 in exponential form is:

95064 = 2³ × 3¹ × 17¹ × 233¹

Step-3: Factors of 95052

List of positive integer factors of 95052 that divides 95052 without a remainder.

1, 2, 3, 4, 6, 12, 89, 178, 267, 356, 534, 1068, 7921, 15842, 23763, 31684, 47526

Step-4: Factors of 95064

List of positive integer factors of 95064 that divides 95052 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 233, 408, 466, 699, 932, 1398, 1864, 2796, 3961, 5592, 7922, 11883, 15844, 23766, 31688, 47532

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95052 and 95064. The biggest common factor number is the GCF number.
So the greatest common factor 95052 and 95064 is 12.

Also check out the Least Common Multiple of 95052 and 95064