What is the Greatest Common Factor of 87892 and 87906?

Greatest common factor (GCF) of 87892 and 87906 is 14.

GCF(87892,87906) = 14

We will now calculate the prime factors of 87892 and 87906, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87892 and 87906.

How to find the GCF of 87892 and 87906?

We will first find the prime factorization of 87892 and 87906. After we will calculate the factors of 87892 and 87906 and find the biggest common factor number .

Step-1: Prime Factorization of 87892

Prime factors of 87892 are 2, 7, 43, 73. Prime factorization of 87892 in exponential form is:

87892 = 2² × 7¹ × 43¹ × 73¹

Step-2: 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-3: Factors of 87892

List of positive integer factors of 87892 that divides 87892 without a remainder.

1, 2, 4, 7, 14, 28, 43, 73, 86, 146, 172, 292, 301, 511, 602, 1022, 1204, 2044, 3139, 6278, 12556, 21973, 43946

Step-4: Factors of 87906

List of positive integer factors of 87906 that divides 87892 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87892 and 87906. The biggest common factor number is the GCF number.
So the greatest common factor 87892 and 87906 is 14.

Also check out the Least Common Multiple of 87892 and 87906