What is the Greatest Common Factor of 39760 and 39770?

Greatest common factor (GCF) of 39760 and 39770 is 10.

GCF(39760,39770) = 10

We will now calculate the prime factors of 39760 and 39770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39760 and 39770.

How to find the GCF of 39760 and 39770?

We will first find the prime factorization of 39760 and 39770. After we will calculate the factors of 39760 and 39770 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 39770

Prime factors of 39770 are 2, 5, 41, 97. Prime factorization of 39770 in exponential form is:

39770 = 2¹ × 5¹ × 41¹ × 97¹

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 39770

List of positive integer factors of 39770 that divides 39760 without a remainder.

1, 2, 5, 10, 41, 82, 97, 194, 205, 410, 485, 970, 3977, 7954, 19885

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39760 and 39770. The biggest common factor number is the GCF number.
So the greatest common factor 39760 and 39770 is 10.

Also check out the Least Common Multiple of 39760 and 39770