What is the Greatest Common Factor of 87967 and 87984?

Greatest common factor (GCF) of 87967 and 87984 is 1.

GCF(87967,87984) = 1

We will now calculate the prime factors of 87967 and 87984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87967 and 87984.

How to find the GCF of 87967 and 87984?

We will first find the prime factorization of 87967 and 87984. After we will calculate the factors of 87967 and 87984 and find the biggest common factor number .

Step-1: Prime Factorization of 87967

Prime factors of 87967 are 11, 727. Prime factorization of 87967 in exponential form is:

87967 = 11² × 727¹

Step-2: Prime Factorization of 87984

Prime factors of 87984 are 2, 3, 13, 47. Prime factorization of 87984 in exponential form is:

87984 = 2⁴ × 3² × 13¹ × 47¹

Step-3: Factors of 87967

List of positive integer factors of 87967 that divides 87967 without a remainder.

1, 11, 121, 727, 7997

Step-4: Factors of 87984

List of positive integer factors of 87984 that divides 87967 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 36, 39, 47, 48, 52, 72, 78, 94, 104, 117, 141, 144, 156, 188, 208, 234, 282, 312, 376, 423, 468, 564, 611, 624, 752, 846, 936, 1128, 1222, 1692, 1833, 1872, 2256, 2444, 3384, 3666, 4888, 5499, 6768, 7332, 9776, 10998, 14664, 21996, 29328, 43992

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87967 and 87984. The biggest common factor number is the GCF number.
So the greatest common factor 87967 and 87984 is 1.

Also check out the Least Common Multiple of 87967 and 87984