What is the Greatest Common Factor of 89936 and 89956?

Greatest common factor (GCF) of 89936 and 89956 is 4.

GCF(89936,89956) = 4

We will now calculate the prime factors of 89936 and 89956, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89936 and 89956.

How to find the GCF of 89936 and 89956?

We will first find the prime factorization of 89936 and 89956. After we will calculate the factors of 89936 and 89956 and find the biggest common factor number .

Step-1: Prime Factorization of 89936

Prime factors of 89936 are 2, 7, 11, 73. Prime factorization of 89936 in exponential form is:

89936 = 2⁴ × 7¹ × 11¹ × 73¹

Step-2: Prime Factorization of 89956

Prime factors of 89956 are 2, 43, 523. Prime factorization of 89956 in exponential form is:

89956 = 2² × 43¹ × 523¹

Step-3: Factors of 89936

List of positive integer factors of 89936 that divides 89936 without a remainder.

1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 44, 56, 73, 77, 88, 112, 146, 154, 176, 292, 308, 511, 584, 616, 803, 1022, 1168, 1232, 1606, 2044, 3212, 4088, 5621, 6424, 8176, 11242, 12848, 22484, 44968

Step-4: Factors of 89956

List of positive integer factors of 89956 that divides 89936 without a remainder.

1, 2, 4, 43, 86, 172, 523, 1046, 2092, 22489, 44978

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89936 and 89956. The biggest common factor number is the GCF number.
So the greatest common factor 89936 and 89956 is 4.

Also check out the Least Common Multiple of 89936 and 89956