What is the Greatest Common Factor of 95552 and 95568?

Greatest common factor (GCF) of 95552 and 95568 is 16.

GCF(95552,95568) = 16

We will now calculate the prime factors of 95552 and 95568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95552 and 95568.

How to find the GCF of 95552 and 95568?

We will first find the prime factorization of 95552 and 95568. After we will calculate the factors of 95552 and 95568 and find the biggest common factor number .

Step-1: Prime Factorization of 95552

Prime factors of 95552 are 2, 1493. Prime factorization of 95552 in exponential form is:

95552 = 2⁶ × 1493¹

Step-2: Prime Factorization of 95568

Prime factors of 95568 are 2, 3, 11, 181. Prime factorization of 95568 in exponential form is:

95568 = 2⁴ × 3¹ × 11¹ × 181¹

Step-3: Factors of 95552

List of positive integer factors of 95552 that divides 95552 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1493, 2986, 5972, 11944, 23888, 47776

Step-4: Factors of 95568

List of positive integer factors of 95568 that divides 95552 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 181, 264, 362, 528, 543, 724, 1086, 1448, 1991, 2172, 2896, 3982, 4344, 5973, 7964, 8688, 11946, 15928, 23892, 31856, 47784

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95552 and 95568. The biggest common factor number is the GCF number.
So the greatest common factor 95552 and 95568 is 16.

Also check out the Least Common Multiple of 95552 and 95568