What is the Greatest Common Factor of 76622 and 76636?

Greatest common factor (GCF) of 76622 and 76636 is 14.

GCF(76622,76636) = 14

We will now calculate the prime factors of 76622 and 76636, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76622 and 76636.

How to find the GCF of 76622 and 76636?

We will first find the prime factorization of 76622 and 76636. After we will calculate the factors of 76622 and 76636 and find the biggest common factor number .

Step-1: Prime Factorization of 76622

Prime factors of 76622 are 2, 7, 13, 421. Prime factorization of 76622 in exponential form is:

76622 = 2¹ × 7¹ × 13¹ × 421¹

Step-2: Prime Factorization of 76636

Prime factors of 76636 are 2, 7, 17, 23. Prime factorization of 76636 in exponential form is:

76636 = 2² × 7² × 17¹ × 23¹

Step-3: Factors of 76622

List of positive integer factors of 76622 that divides 76622 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 421, 842, 2947, 5473, 5894, 10946, 38311

Step-4: Factors of 76636

List of positive integer factors of 76636 that divides 76622 without a remainder.

1, 2, 4, 7, 14, 17, 23, 28, 34, 46, 49, 68, 92, 98, 119, 161, 196, 238, 322, 391, 476, 644, 782, 833, 1127, 1564, 1666, 2254, 2737, 3332, 4508, 5474, 10948, 19159, 38318

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76622 and 76636. The biggest common factor number is the GCF number.
So the greatest common factor 76622 and 76636 is 14.

Also check out the Least Common Multiple of 76622 and 76636