What is the Greatest Common Factor of 87906 and 87924?

Greatest common factor (GCF) of 87906 and 87924 is 6.

GCF(87906,87924) = 6

We will now calculate the prime factors of 87906 and 87924, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87906 and 87924.

How to find the GCF of 87906 and 87924?

We will first find the prime factorization of 87906 and 87924. After we will calculate the factors of 87906 and 87924 and find the biggest common factor number .

Step-1: Prime Factorization of 87906

Prime factors of 87906 are 2, 3, 7, 13, 23. Prime factorization of 87906 in exponential form is:

87906 = 2¹ × 3¹ × 7² × 13¹ × 23¹

Step-2: Prime Factorization of 87924

Prime factors of 87924 are 2, 3, 17, 431. Prime factorization of 87924 in exponential form is:

87924 = 2² × 3¹ × 17¹ × 431¹

Step-3: Factors of 87906

List of positive integer factors of 87906 that divides 87906 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 23, 26, 39, 42, 46, 49, 69, 78, 91, 98, 138, 147, 161, 182, 273, 294, 299, 322, 483, 546, 598, 637, 897, 966, 1127, 1274, 1794, 1911, 2093, 2254, 3381, 3822, 4186, 6279, 6762, 12558, 14651, 29302, 43953

Step-4: Factors of 87924

List of positive integer factors of 87924 that divides 87906 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 431, 862, 1293, 1724, 2586, 5172, 7327, 14654, 21981, 29308, 43962

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87906 and 87924. The biggest common factor number is the GCF number.
So the greatest common factor 87906 and 87924 is 6.

Also check out the Least Common Multiple of 87906 and 87924