What is the Greatest Common Factor of 39480 and 39490?

Greatest common factor (GCF) of 39480 and 39490 is 10.

GCF(39480,39490) = 10

We will now calculate the prime factors of 39480 and 39490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39480 and 39490.

How to find the GCF of 39480 and 39490?

We will first find the prime factorization of 39480 and 39490. After we will calculate the factors of 39480 and 39490 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 39490

Prime factors of 39490 are 2, 5, 11, 359. Prime factorization of 39490 in exponential form is:

39490 = 2¹ × 5¹ × 11¹ × 359¹

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 39490

List of positive integer factors of 39490 that divides 39480 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 359, 718, 1795, 3590, 3949, 7898, 19745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39480 and 39490. The biggest common factor number is the GCF number.
So the greatest common factor 39480 and 39490 is 10.

Also check out the Least Common Multiple of 39480 and 39490