What is the Greatest Common Factor of 95462 and 95478?

Greatest common factor (GCF) of 95462 and 95478 is 2.

GCF(95462,95478) = 2

We will now calculate the prime factors of 95462 and 95478, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95462 and 95478.

How to find the GCF of 95462 and 95478?

We will first find the prime factorization of 95462 and 95478. After we will calculate the factors of 95462 and 95478 and find the biggest common factor number .

Step-1: Prime Factorization of 95462

Prime factors of 95462 are 2, 59, 809. Prime factorization of 95462 in exponential form is:

95462 = 2¹ × 59¹ × 809¹

Step-2: Prime Factorization of 95478

Prime factors of 95478 are 2, 3, 15913. Prime factorization of 95478 in exponential form is:

95478 = 2¹ × 3¹ × 15913¹

Step-3: Factors of 95462

List of positive integer factors of 95462 that divides 95462 without a remainder.

1, 2, 59, 118, 809, 1618, 47731

Step-4: Factors of 95478

List of positive integer factors of 95478 that divides 95462 without a remainder.

1, 2, 3, 6, 15913, 31826, 47739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95462 and 95478. The biggest common factor number is the GCF number.
So the greatest common factor 95462 and 95478 is 2.

Also check out the Least Common Multiple of 95462 and 95478