What is the Greatest Common Factor of 85462 and 85478?

Greatest common factor (GCF) of 85462 and 85478 is 2.

GCF(85462,85478) = 2

We will now calculate the prime factors of 85462 and 85478, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85462 and 85478.

How to find the GCF of 85462 and 85478?

We will first find the prime factorization of 85462 and 85478. After we will calculate the factors of 85462 and 85478 and find the biggest common factor number .

Step-1: Prime Factorization of 85462

Prime factors of 85462 are 2, 13, 19, 173. Prime factorization of 85462 in exponential form is:

85462 = 2¹ × 13¹ × 19¹ × 173¹

Step-2: Prime Factorization of 85478

Prime factors of 85478 are 2, 79, 541. Prime factorization of 85478 in exponential form is:

85478 = 2¹ × 79¹ × 541¹

Step-3: Factors of 85462

List of positive integer factors of 85462 that divides 85462 without a remainder.

1, 2, 13, 19, 26, 38, 173, 247, 346, 494, 2249, 3287, 4498, 6574, 42731

Step-4: Factors of 85478

List of positive integer factors of 85478 that divides 85462 without a remainder.

1, 2, 79, 158, 541, 1082, 42739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85462 and 85478. The biggest common factor number is the GCF number.
So the greatest common factor 85462 and 85478 is 2.

Also check out the Least Common Multiple of 85462 and 85478