What is the Greatest Common Factor of 39475 and 39480?

Greatest common factor (GCF) of 39475 and 39480 is 5.

GCF(39475,39480) = 5

We will now calculate the prime factors of 39475 and 39480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39475 and 39480.

How to find the GCF of 39475 and 39480?

We will first find the prime factorization of 39475 and 39480. After we will calculate the factors of 39475 and 39480 and find the biggest common factor number .

Step-1: Prime Factorization of 39475

Prime factors of 39475 are 5, 1579. Prime factorization of 39475 in exponential form is:

39475 = 5² × 1579¹

Step-2: Prime Factorization of 39480

Prime factors of 39480 are 2, 3, 5, 7, 47. Prime factorization of 39480 in exponential form is:

39480 = 2³ × 3¹ × 5¹ × 7¹ × 47¹

Step-3: Factors of 39475

List of positive integer factors of 39475 that divides 39475 without a remainder.

1, 5, 25, 1579, 7895

Step-4: Factors of 39480

List of positive integer factors of 39480 that divides 39475 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 47, 56, 60, 70, 84, 94, 105, 120, 140, 141, 168, 188, 210, 235, 280, 282, 329, 376, 420, 470, 564, 658, 705, 840, 940, 987, 1128, 1316, 1410, 1645, 1880, 1974, 2632, 2820, 3290, 3948, 4935, 5640, 6580, 7896, 9870, 13160, 19740

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39475 and 39480. The biggest common factor number is the GCF number.
So the greatest common factor 39475 and 39480 is 5.

Also check out the Least Common Multiple of 39475 and 39480