What is the Greatest Common Factor of 83780 and 83788?

Greatest common factor (GCF) of 83780 and 83788 is 4.

GCF(83780,83788) = 4

We will now calculate the prime factors of 83780 and 83788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83780 and 83788.

How to find the GCF of 83780 and 83788?

We will first find the prime factorization of 83780 and 83788. After we will calculate the factors of 83780 and 83788 and find the biggest common factor number .

Step-1: Prime Factorization of 83780

Prime factors of 83780 are 2, 5, 59, 71. Prime factorization of 83780 in exponential form is:

83780 = 2² × 5¹ × 59¹ × 71¹

Step-2: Prime Factorization of 83788

Prime factors of 83788 are 2, 20947. Prime factorization of 83788 in exponential form is:

83788 = 2² × 20947¹

Step-3: Factors of 83780

List of positive integer factors of 83780 that divides 83780 without a remainder.

1, 2, 4, 5, 10, 20, 59, 71, 118, 142, 236, 284, 295, 355, 590, 710, 1180, 1420, 4189, 8378, 16756, 20945, 41890

Step-4: Factors of 83788

List of positive integer factors of 83788 that divides 83780 without a remainder.

1, 2, 4, 20947, 41894

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83780 and 83788. The biggest common factor number is the GCF number.
So the greatest common factor 83780 and 83788 is 4.

Also check out the Least Common Multiple of 83780 and 83788