What is the Greatest Common Factor of 83622 and 83636?

Greatest common factor (GCF) of 83622 and 83636 is 14.

GCF(83622,83636) = 14

We will now calculate the prime factors of 83622 and 83636, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83622 and 83636.

How to find the GCF of 83622 and 83636?

We will first find the prime factorization of 83622 and 83636. After we will calculate the factors of 83622 and 83636 and find the biggest common factor number .

Step-1: Prime Factorization of 83622

Prime factors of 83622 are 2, 3, 7, 11, 181. Prime factorization of 83622 in exponential form is:

83622 = 2¹ × 3¹ × 7¹ × 11¹ × 181¹

Step-2: Prime Factorization of 83636

Prime factors of 83636 are 2, 7, 29, 103. Prime factorization of 83636 in exponential form is:

83636 = 2² × 7¹ × 29¹ × 103¹

Step-3: Factors of 83622

List of positive integer factors of 83622 that divides 83622 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 181, 231, 362, 462, 543, 1086, 1267, 1991, 2534, 3801, 3982, 5973, 7602, 11946, 13937, 27874, 41811

Step-4: Factors of 83636

List of positive integer factors of 83636 that divides 83622 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 103, 116, 203, 206, 406, 412, 721, 812, 1442, 2884, 2987, 5974, 11948, 20909, 41818

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83622 and 83636. The biggest common factor number is the GCF number.
So the greatest common factor 83622 and 83636 is 14.

Also check out the Least Common Multiple of 83622 and 83636