What is the Greatest Common Factor of 87874 and 87892?

Greatest common factor (GCF) of 87874 and 87892 is 2.

GCF(87874,87892) = 2

We will now calculate the prime factors of 87874 and 87892, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87874 and 87892.

How to find the GCF of 87874 and 87892?

We will first find the prime factorization of 87874 and 87892. After we will calculate the factors of 87874 and 87892 and find the biggest common factor number .

Step-1: Prime Factorization of 87874

Prime factors of 87874 are 2, 53, 829. Prime factorization of 87874 in exponential form is:

87874 = 2¹ × 53¹ × 829¹

Step-2: 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-3: Factors of 87874

List of positive integer factors of 87874 that divides 87874 without a remainder.

1, 2, 53, 106, 829, 1658, 43937

Step-4: Factors of 87892

List of positive integer factors of 87892 that divides 87874 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87874 and 87892. The biggest common factor number is the GCF number.
So the greatest common factor 87874 and 87892 is 2.

Also check out the Least Common Multiple of 87874 and 87892