What is the Greatest Common Factor of 55624 and 55642?
Greatest common factor (GCF) of 55624 and 55642 is 2.
GCF(55624,55642) = 2
We will now calculate the prime factors of 55624 and 55642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55624 and 55642.
How to find the GCF of 55624 and 55642?
We will first find the prime factorization of 55624 and 55642. After we will calculate the factors of 55624 and 55642 and find the biggest common factor number .
Step-1: Prime Factorization of 55624
Prime factors of 55624 are 2, 17, 409. Prime factorization of 55624 in exponential form is:
55624 = 23 × 171 × 4091
Step-2: Prime Factorization of 55642
Prime factors of 55642 are 2, 43, 647. Prime factorization of 55642 in exponential form is:
55642 = 21 × 431 × 6471
Step-3: Factors of 55624
List of positive integer factors of 55624 that divides 55624 without a remainder.
1, 2, 4, 8, 17, 34, 68, 136, 409, 818, 1636, 3272, 6953, 13906, 27812
Step-4: Factors of 55642
List of positive integer factors of 55642 that divides 55624 without a remainder.
1, 2, 43, 86, 647, 1294, 27821
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 55624 and 55642. The biggest common factor number is the GCF number.
So the greatest common factor 55624 and 55642 is 2.
Also check out the Least Common Multiple of 55624 and 55642
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Related Greatest Common Factors of 55642
- GCF of 55642 and 55646
- GCF of 55642 and 55647
- GCF of 55642 and 55648
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