What is the Greatest Common Factor of 39760 and 39764?

Greatest common factor (GCF) of 39760 and 39764 is 4.

GCF(39760,39764) = 4

We will now calculate the prime factors of 39760 and 39764, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39760 and 39764.

How to find the GCF of 39760 and 39764?

We will first find the prime factorization of 39760 and 39764. After we will calculate the factors of 39760 and 39764 and find the biggest common factor number .

Step-1: Prime Factorization of 39760

Prime factors of 39760 are 2, 5, 7, 71. Prime factorization of 39760 in exponential form is:

39760 = 2⁴ × 5¹ × 7¹ × 71¹

Step-2: Prime Factorization of 39764

Prime factors of 39764 are 2, 9941. Prime factorization of 39764 in exponential form is:

39764 = 2² × 9941¹

Step-3: Factors of 39760

List of positive integer factors of 39760 that divides 39760 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 71, 80, 112, 140, 142, 280, 284, 355, 497, 560, 568, 710, 994, 1136, 1420, 1988, 2485, 2840, 3976, 4970, 5680, 7952, 9940, 19880

Step-4: Factors of 39764

List of positive integer factors of 39764 that divides 39760 without a remainder.

1, 2, 4, 9941, 19882

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39760 and 39764. The biggest common factor number is the GCF number.
So the greatest common factor 39760 and 39764 is 4.

Also check out the Least Common Multiple of 39760 and 39764