What is the Greatest Common Factor of 70455 and 70470?

Greatest common factor (GCF) of 70455 and 70470 is 15.

GCF(70455,70470) = 15

We will now calculate the prime factors of 70455 and 70470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70455 and 70470.

How to find the GCF of 70455 and 70470?

We will first find the prime factorization of 70455 and 70470. After we will calculate the factors of 70455 and 70470 and find the biggest common factor number .

Step-1: Prime Factorization of 70455

Prime factors of 70455 are 3, 5, 7, 11, 61. Prime factorization of 70455 in exponential form is:

70455 = 3¹ × 5¹ × 7¹ × 11¹ × 61¹

Step-2: Prime Factorization of 70470

Prime factors of 70470 are 2, 3, 5, 29. Prime factorization of 70470 in exponential form is:

70470 = 2¹ × 3⁵ × 5¹ × 29¹

Step-3: Factors of 70455

List of positive integer factors of 70455 that divides 70455 without a remainder.

1, 3, 5, 7, 11, 15, 21, 33, 35, 55, 61, 77, 105, 165, 183, 231, 305, 385, 427, 671, 915, 1155, 1281, 2013, 2135, 3355, 4697, 6405, 10065, 14091, 23485

Step-4: Factors of 70470

List of positive integer factors of 70470 that divides 70455 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 29, 30, 45, 54, 58, 81, 87, 90, 135, 145, 162, 174, 243, 261, 270, 290, 405, 435, 486, 522, 783, 810, 870, 1215, 1305, 1566, 2349, 2430, 2610, 3915, 4698, 7047, 7830, 11745, 14094, 23490, 35235

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70455 and 70470. The biggest common factor number is the GCF number.
So the greatest common factor 70455 and 70470 is 15.

Also check out the Least Common Multiple of 70455 and 70470