What is the Greatest Common Factor of 39480 and 39489?

Greatest common factor (GCF) of 39480 and 39489 is 3.

GCF(39480,39489) = 3

We will now calculate the prime factors of 39480 and 39489, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39480 and 39489.

How to find the GCF of 39480 and 39489?

We will first find the prime factorization of 39480 and 39489. After we will calculate the factors of 39480 and 39489 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 39489

Prime factors of 39489 are 3, 13163. Prime factorization of 39489 in exponential form is:

39489 = 3¹ × 13163¹

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 39489

List of positive integer factors of 39489 that divides 39480 without a remainder.

1, 3, 13163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39480 and 39489. The biggest common factor number is the GCF number.
So the greatest common factor 39480 and 39489 is 3.

Also check out the Least Common Multiple of 39480 and 39489