What is the Greatest Common Factor of 77872 and 77883?

Greatest common factor (GCF) of 77872 and 77883 is 1.

GCF(77872,77883) = 1

We will now calculate the prime factors of 77872 and 77883, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77872 and 77883.

How to find the GCF of 77872 and 77883?

We will first find the prime factorization of 77872 and 77883. After we will calculate the factors of 77872 and 77883 and find the biggest common factor number .

Step-1: Prime Factorization of 77872

Prime factors of 77872 are 2, 31, 157. Prime factorization of 77872 in exponential form is:

77872 = 2⁴ × 31¹ × 157¹

Step-2: Prime Factorization of 77883

Prime factors of 77883 are 3, 13, 1997. Prime factorization of 77883 in exponential form is:

77883 = 3¹ × 13¹ × 1997¹

Step-3: Factors of 77872

List of positive integer factors of 77872 that divides 77872 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 157, 248, 314, 496, 628, 1256, 2512, 4867, 9734, 19468, 38936

Step-4: Factors of 77883

List of positive integer factors of 77883 that divides 77872 without a remainder.

1, 3, 13, 39, 1997, 5991, 25961

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77872 and 77883. The biggest common factor number is the GCF number.
So the greatest common factor 77872 and 77883 is 1.

Also check out the Least Common Multiple of 77872 and 77883