What is the Greatest Common Factor of 46020 and 46030?

Greatest common factor (GCF) of 46020 and 46030 is 10.

GCF(46020,46030) = 10

We will now calculate the prime factors of 46020 and 46030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46020 and 46030.

How to find the GCF of 46020 and 46030?

We will first find the prime factorization of 46020 and 46030. After we will calculate the factors of 46020 and 46030 and find the biggest common factor number .

Step-1: Prime Factorization of 46020

Prime factors of 46020 are 2, 3, 5, 13, 59. Prime factorization of 46020 in exponential form is:

46020 = 2² × 3¹ × 5¹ × 13¹ × 59¹

Step-2: Prime Factorization of 46030

Prime factors of 46030 are 2, 5, 4603. Prime factorization of 46030 in exponential form is:

46030 = 2¹ × 5¹ × 4603¹

Step-3: Factors of 46020

List of positive integer factors of 46020 that divides 46020 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 59, 60, 65, 78, 118, 130, 156, 177, 195, 236, 260, 295, 354, 390, 590, 708, 767, 780, 885, 1180, 1534, 1770, 2301, 3068, 3540, 3835, 4602, 7670, 9204, 11505, 15340, 23010

Step-4: Factors of 46030

List of positive integer factors of 46030 that divides 46020 without a remainder.

1, 2, 5, 10, 4603, 9206, 23015

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46020 and 46030. The biggest common factor number is the GCF number.
So the greatest common factor 46020 and 46030 is 10.

Also check out the Least Common Multiple of 46020 and 46030