What is the Greatest Common Factor of 83608 and 83622?

Greatest common factor (GCF) of 83608 and 83622 is 14.

GCF(83608,83622) = 14

We will now calculate the prime factors of 83608 and 83622, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83608 and 83622.

How to find the GCF of 83608 and 83622?

We will first find the prime factorization of 83608 and 83622. After we will calculate the factors of 83608 and 83622 and find the biggest common factor number .

Step-1: Prime Factorization of 83608

Prime factors of 83608 are 2, 7, 1493. Prime factorization of 83608 in exponential form is:

83608 = 2³ × 7¹ × 1493¹

Step-2: 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-3: Factors of 83608

List of positive integer factors of 83608 that divides 83608 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1493, 2986, 5972, 10451, 11944, 20902, 41804

Step-4: Factors of 83622

List of positive integer factors of 83622 that divides 83608 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83608 and 83622. The biggest common factor number is the GCF number.
So the greatest common factor 83608 and 83622 is 14.

Also check out the Least Common Multiple of 83608 and 83622