What is the Greatest Common Factor of 39480 and 39495?

Greatest common factor (GCF) of 39480 and 39495 is 15.

GCF(39480,39495) = 15

We will now calculate the prime factors of 39480 and 39495, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39480 and 39495.

How to find the GCF of 39480 and 39495?

We will first find the prime factorization of 39480 and 39495. After we will calculate the factors of 39480 and 39495 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 39495

Prime factors of 39495 are 3, 5, 2633. Prime factorization of 39495 in exponential form is:

39495 = 3¹ × 5¹ × 2633¹

Step-3: Factors of 39480

List of positive integer factors of 39480 that divides 39480 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

Step-4: Factors of 39495

List of positive integer factors of 39495 that divides 39480 without a remainder.

1, 3, 5, 15, 2633, 7899, 13165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39480 and 39495. The biggest common factor number is the GCF number.
So the greatest common factor 39480 and 39495 is 15.

Also check out the Least Common Multiple of 39480 and 39495