What is the Greatest Common Factor of 77470 and 77490?

Greatest common factor (GCF) of 77470 and 77490 is 10.

GCF(77470,77490) = 10

We will now calculate the prime factors of 77470 and 77490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77470 and 77490.

How to find the GCF of 77470 and 77490?

We will first find the prime factorization of 77470 and 77490. After we will calculate the factors of 77470 and 77490 and find the biggest common factor number .

Step-1: Prime Factorization of 77470

Prime factors of 77470 are 2, 5, 61, 127. Prime factorization of 77470 in exponential form is:

77470 = 2¹ × 5¹ × 61¹ × 127¹

Step-2: Prime Factorization of 77490

Prime factors of 77490 are 2, 3, 5, 7, 41. Prime factorization of 77490 in exponential form is:

77490 = 2¹ × 3³ × 5¹ × 7¹ × 41¹

Step-3: Factors of 77470

List of positive integer factors of 77470 that divides 77470 without a remainder.

1, 2, 5, 10, 61, 122, 127, 254, 305, 610, 635, 1270, 7747, 15494, 38735

Step-4: Factors of 77490

List of positive integer factors of 77490 that divides 77470 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 27, 30, 35, 41, 42, 45, 54, 63, 70, 82, 90, 105, 123, 126, 135, 189, 205, 210, 246, 270, 287, 315, 369, 378, 410, 574, 615, 630, 738, 861, 945, 1107, 1230, 1435, 1722, 1845, 1890, 2214, 2583, 2870, 3690, 4305, 5166, 5535, 7749, 8610, 11070, 12915, 15498, 25830, 38745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77470 and 77490. The biggest common factor number is the GCF number.
So the greatest common factor 77470 and 77490 is 10.

Also check out the Least Common Multiple of 77470 and 77490