What is the Greatest Common Factor of 69624 and 69642?
Greatest common factor (GCF) of 69624 and 69642 is 18.
GCF(69624,69642) = 18
We will now calculate the prime factors of 69624 and 69642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69624 and 69642.
How to find the GCF of 69624 and 69642?
We will first find the prime factorization of 69624 and 69642. After we will calculate the factors of 69624 and 69642 and find the biggest common factor number .
Step-1: Prime Factorization of 69624
Prime factors of 69624 are 2, 3, 967. Prime factorization of 69624 in exponential form is:
69624 = 23 × 32 × 9671
Step-2: Prime Factorization of 69642
Prime factors of 69642 are 2, 3, 53, 73. Prime factorization of 69642 in exponential form is:
69642 = 21 × 32 × 531 × 731
Step-3: Factors of 69624
List of positive integer factors of 69624 that divides 69624 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 967, 1934, 2901, 3868, 5802, 7736, 8703, 11604, 17406, 23208, 34812
Step-4: Factors of 69642
List of positive integer factors of 69642 that divides 69624 without a remainder.
1, 2, 3, 6, 9, 18, 53, 73, 106, 146, 159, 219, 318, 438, 477, 657, 954, 1314, 3869, 7738, 11607, 23214, 34821
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 69624 and 69642. The biggest common factor number is the GCF number.
So the greatest common factor 69624 and 69642 is 18.
Also check out the Least Common Multiple of 69624 and 69642
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- GCF of 69624 and 69644
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