What is the Greatest Common Factor of 87738 and 87754?

Greatest common factor (GCF) of 87738 and 87754 is 2.

GCF(87738,87754) = 2

We will now calculate the prime factors of 87738 and 87754, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87738 and 87754.

How to find the GCF of 87738 and 87754?

We will first find the prime factorization of 87738 and 87754. After we will calculate the factors of 87738 and 87754 and find the biggest common factor number .

Step-1: Prime Factorization of 87738

Prime factors of 87738 are 2, 3, 7, 2089. Prime factorization of 87738 in exponential form is:

87738 = 2¹ × 3¹ × 7¹ × 2089¹

Step-2: Prime Factorization of 87754

Prime factors of 87754 are 2, 17, 29, 89. Prime factorization of 87754 in exponential form is:

87754 = 2¹ × 17¹ × 29¹ × 89¹

Step-3: Factors of 87738

List of positive integer factors of 87738 that divides 87738 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 2089, 4178, 6267, 12534, 14623, 29246, 43869

Step-4: Factors of 87754

List of positive integer factors of 87754 that divides 87738 without a remainder.

1, 2, 17, 29, 34, 58, 89, 178, 493, 986, 1513, 2581, 3026, 5162, 43877

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87738 and 87754. The biggest common factor number is the GCF number.
So the greatest common factor 87738 and 87754 is 2.

Also check out the Least Common Multiple of 87738 and 87754