What is the Greatest Common Factor of 45010 and 45024?

Greatest common factor (GCF) of 45010 and 45024 is 14.

GCF(45010,45024) = 14

We will now calculate the prime factors of 45010 and 45024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45010 and 45024.

How to find the GCF of 45010 and 45024?

We will first find the prime factorization of 45010 and 45024. After we will calculate the factors of 45010 and 45024 and find the biggest common factor number .

Step-1: Prime Factorization of 45010

Prime factors of 45010 are 2, 5, 7, 643. Prime factorization of 45010 in exponential form is:

45010 = 2¹ × 5¹ × 7¹ × 643¹

Step-2: Prime Factorization of 45024

Prime factors of 45024 are 2, 3, 7, 67. Prime factorization of 45024 in exponential form is:

45024 = 2⁵ × 3¹ × 7¹ × 67¹

Step-3: Factors of 45010

List of positive integer factors of 45010 that divides 45010 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 643, 1286, 3215, 4501, 6430, 9002, 22505

Step-4: Factors of 45024

List of positive integer factors of 45024 that divides 45010 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 67, 84, 96, 112, 134, 168, 201, 224, 268, 336, 402, 469, 536, 672, 804, 938, 1072, 1407, 1608, 1876, 2144, 2814, 3216, 3752, 5628, 6432, 7504, 11256, 15008, 22512

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45010 and 45024. The biggest common factor number is the GCF number.
So the greatest common factor 45010 and 45024 is 14.

Also check out the Least Common Multiple of 45010 and 45024