What is the Greatest Common Factor of 95074 and 95088?

Greatest common factor (GCF) of 95074 and 95088 is 14.

GCF(95074,95088) = 14

We will now calculate the prime factors of 95074 and 95088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95074 and 95088.

How to find the GCF of 95074 and 95088?

We will first find the prime factorization of 95074 and 95088. After we will calculate the factors of 95074 and 95088 and find the biggest common factor number .

Step-1: Prime Factorization of 95074

Prime factors of 95074 are 2, 7, 6791. Prime factorization of 95074 in exponential form is:

95074 = 2¹ × 7¹ × 6791¹

Step-2: Prime Factorization of 95088

Prime factors of 95088 are 2, 3, 7, 283. Prime factorization of 95088 in exponential form is:

95088 = 2⁴ × 3¹ × 7¹ × 283¹

Step-3: Factors of 95074

List of positive integer factors of 95074 that divides 95074 without a remainder.

1, 2, 7, 14, 6791, 13582, 47537

Step-4: Factors of 95088

List of positive integer factors of 95088 that divides 95074 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 283, 336, 566, 849, 1132, 1698, 1981, 2264, 3396, 3962, 4528, 5943, 6792, 7924, 11886, 13584, 15848, 23772, 31696, 47544

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95074 and 95088. The biggest common factor number is the GCF number.
So the greatest common factor 95074 and 95088 is 14.

Also check out the Least Common Multiple of 95074 and 95088