What is the Greatest Common Factor of 83772 and 83784?

Greatest common factor (GCF) of 83772 and 83784 is 12.

GCF(83772,83784) = 12

We will now calculate the prime factors of 83772 and 83784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83772 and 83784.

How to find the GCF of 83772 and 83784?

We will first find the prime factorization of 83772 and 83784. After we will calculate the factors of 83772 and 83784 and find the biggest common factor number .

Step-1: Prime Factorization of 83772

Prime factors of 83772 are 2, 3, 13, 179. Prime factorization of 83772 in exponential form is:

83772 = 2² × 3² × 13¹ × 179¹

Step-2: Prime Factorization of 83784

Prime factors of 83784 are 2, 3, 3491. Prime factorization of 83784 in exponential form is:

83784 = 2³ × 3¹ × 3491¹

Step-3: Factors of 83772

List of positive integer factors of 83772 that divides 83772 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 179, 234, 358, 468, 537, 716, 1074, 1611, 2148, 2327, 3222, 4654, 6444, 6981, 9308, 13962, 20943, 27924, 41886

Step-4: Factors of 83784

List of positive integer factors of 83784 that divides 83772 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3491, 6982, 10473, 13964, 20946, 27928, 41892

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83772 and 83784. The biggest common factor number is the GCF number.
So the greatest common factor 83772 and 83784 is 12.

Also check out the Least Common Multiple of 83772 and 83784