What is the Greatest Common Factor of 83622 and 83633?

Greatest common factor (GCF) of 83622 and 83633 is 11.

GCF(83622,83633) = 11

We will now calculate the prime factors of 83622 and 83633, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83622 and 83633.

How to find the GCF of 83622 and 83633?

We will first find the prime factorization of 83622 and 83633. After we will calculate the factors of 83622 and 83633 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 83633

Prime factors of 83633 are 11, 7603. Prime factorization of 83633 in exponential form is:

83633 = 11¹ × 7603¹

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 83633

List of positive integer factors of 83633 that divides 83622 without a remainder.

1, 11, 7603

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83622 and 83633. The biggest common factor number is the GCF number.
So the greatest common factor 83622 and 83633 is 11.

Also check out the Least Common Multiple of 83622 and 83633